%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : RNG046+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:37:48 EDT 2024

% Result   : Theorem 0.21s 0.41s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   32 (   9 unt;   0 def)
%            Number of atoms       :   75 (  33 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   66 (  23   ~;  21   |;  18   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ! [W0] :
      ( aScalar0(W0)
     => aScalar0(smndt0(W0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [W0] :
      ( aScalar0(W0)
     => ( sdtpldt0(W0,sz0z00) = W0
        & sdtpldt0(sz0z00,W0) = W0
        & sdtasdt0(W0,sz0z00) = sz0z00
        & sdtasdt0(sz0z00,W0) = sz0z00
        & sdtpldt0(W0,smndt0(W0)) = sz0z00
        & sdtpldt0(smndt0(W0),W0) = sz0z00
        & smndt0(smndt0(W0)) = W0
        & smndt0(sz0z00) = sz0z00 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W0)
        & aScalar0(W1) )
     => ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))
        & sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,hypothesis,
    ( aScalar0(xx)
    & aScalar0(xy) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,conjecture,
    sdtasdt0(smndt0(xx),smndt0(xy)) = sdtasdt0(xx,xy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f46,plain,
    ! [W0] :
      ( ~ aScalar0(W0)
      | aScalar0(smndt0(W0)) ),
    inference(pre_NNF_transformation,[status(esa)],[f12]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | aScalar0(smndt0(X0)) ),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f48,plain,
    ! [W0] :
      ( ~ aScalar0(W0)
      | ( sdtpldt0(W0,sz0z00) = W0
        & sdtpldt0(sz0z00,W0) = W0
        & sdtasdt0(W0,sz0z00) = sz0z00
        & sdtasdt0(sz0z00,W0) = sz0z00
        & sdtpldt0(W0,smndt0(W0)) = sz0z00
        & sdtpldt0(smndt0(W0),W0) = sz0z00
        & smndt0(smndt0(W0)) = W0
        & smndt0(sz0z00) = sz0z00 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f13]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | smndt0(smndt0(X0)) = X0 ),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f67,plain,
    ! [W0,W1] :
      ( ~ aScalar0(W0)
      | ~ aScalar0(W1)
      | ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))
        & sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f17]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f67]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f67]) ).

fof(f70,plain,
    aScalar0(xx),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f71,plain,
    aScalar0(xy),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f72,plain,
    sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f90,plain,
    smndt0(smndt0(xx)) = xx,
    inference(resolution,[status(thm)],[f55,f70]) ).

fof(f109,plain,
    ( spl0_6
  <=> aScalar0(smndt0(xx)) ),
    introduced(split_symbol_definition) ).

fof(f110,plain,
    ( aScalar0(smndt0(xx))
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f109]) ).

fof(f111,plain,
    ( ~ aScalar0(smndt0(xx))
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f109]) ).

fof(f117,plain,
    ( ~ aScalar0(xx)
    | spl0_6 ),
    inference(resolution,[status(thm)],[f111,f47]) ).

fof(f118,plain,
    ( $false
    | spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f117,f70]) ).

fof(f119,plain,
    spl0_6,
    inference(contradiction_clause,[status(thm)],[f118]) ).

fof(f128,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtasdt0(X0,smndt0(xy)) = smndt0(sdtasdt0(X0,xy)) ),
    inference(resolution,[status(thm)],[f68,f71]) ).

fof(f134,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtasdt0(smndt0(X0),xy) = smndt0(sdtasdt0(X0,xy)) ),
    inference(resolution,[status(thm)],[f69,f71]) ).

fof(f181,plain,
    ( sdtasdt0(smndt0(smndt0(xx)),xy) = smndt0(sdtasdt0(smndt0(xx),xy))
    | ~ spl0_6 ),
    inference(resolution,[status(thm)],[f134,f110]) ).

fof(f182,plain,
    ( sdtasdt0(xx,xy) = smndt0(sdtasdt0(smndt0(xx),xy))
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f90,f181]) ).

fof(f498,plain,
    ( sdtasdt0(smndt0(xx),smndt0(xy)) = smndt0(sdtasdt0(smndt0(xx),xy))
    | ~ spl0_6 ),
    inference(resolution,[status(thm)],[f128,f110]) ).

fof(f499,plain,
    ( sdtasdt0(smndt0(xx),smndt0(xy)) = sdtasdt0(xx,xy)
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f182,f498]) ).

fof(f500,plain,
    ( $false
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f499,f72]) ).

fof(f501,plain,
    ~ spl0_6,
    inference(contradiction_clause,[status(thm)],[f500]) ).

fof(f502,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f119,f501]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : RNG046+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 22:40:02 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.36  % Drodi V3.6.0
% 0.21/0.41  % Refutation found
% 0.21/0.41  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.42  % Elapsed time: 0.069488 seconds
% 0.21/0.42  % CPU time: 0.443605 seconds
% 0.21/0.42  % Total memory used: 57.370 MB
% 0.21/0.42  % Net memory used: 56.672 MB
%------------------------------------------------------------------------------